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Finding the Fourth Proportional to 481.70, 717.92 and 477.68

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Solution

The fourth proportional to 481.70, 717.92 and 477.68 is: 711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 717.92 = 477.68 : x
  2. Step 2: Convert to fraction form
    481.70/717.92 = 477.68/x
  3. Step 3: Cross multiply
    481.70x = 717.92 × 477.68
  4. Step 4: Simplify right side
    481.70x = 342,935.88
  5. Step 5: Solve for x
    x = 342,935.88/481.70
  6. Step 6: Final answer
    x = 711.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.